# A particle P moving in circle with angular velocity w about center O. Then find angular velocity of particle about A (opposite to P) on circumference of circle (in terms of w)

Dear Student,

Please find below the solution to the asked query:

If the particle P is moving in a circle of radius R with angular velocity *w*, then the speed of the particle is,

$v=R\omega $

About the centre. So, if we observe this particle from the opposite end, the radius will be 2R, Therefore, the angular velocity of the particle about this point is,

$\omega \text{'}=\frac{v}{2R}=\frac{R\omega}{2R}=\frac{\omega}{2}$

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